Driving on the highway, you can safely drive 65 miles per hour. Which of the following functions could be used to find how far you can drive in 'h' hours?

a. D = 65h

b. D = 65 + h

c. D = 65/h

d. D = h/65

Answers

Answer 1

Answer:

The answer is A, D=65h

Step-by-step explanation:

This is because D is representing how far you drove, so you can only drive 65 mph. And that will be 65*h=D. Hope this helps!

Answer 2

The solution is Option A.

The distance traveled is calculated by Distance D = 65h , where h is the number of hours

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the distance traveled be represented as D

Now , the value of D will be

Let the speed be represented as S = 65 miles per hour

Let the time required to travel a distance of D be represented as = h

where h is the number of hours

So , the distance D is calculated from the formula

Speed = Distance traveled / Time required

Substituting the values in the equation , we get

65 = D / h

Multiply by h on both sides of the equation , we get

D = 65h

Therefore , the value of D is 65h

Hence , the equation will be D = 65h where h is the number of hours and D is the total distance

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Related Questions

Please help me asap!!!!!?

Answers

Answer:

D

Step-by-step explanation:

the scale factor will be the square of the fraction

7/4 =49/16

Answer:

D

Step-by-step explanation:

CAN SOMEONE PLEASE HELP I WILL GIVE MORE POINTS AND BRAINLIEST.

Answers

Answer:

The answer is A

Step-by-step explanation:

Process of elimination. None of the others make sense.

Answer:

x = 2 or x = -4

Step-by-step explanation:

Solve for x over the real numbers:

-x^2 - 2 x + 8 = 0

Multiply both sides by -1:

x^2 + 2 x - 8 = 0

Add 8 to both sides:

x^2 + 2 x = 8

Add 1 to both sides:

x^2 + 2 x + 1 = 9

Write the left hand side as a square:

(x + 1)^2 = 9

Take the square root of both sides:

x + 1 = 3 or x + 1 = -3

Subtract 1 from both sides:

x = 2 or x + 1 = -3

Subtract 1 from both sides:

Answer: x = 2 or x = -4

how many eights are in 4 3/8​

Answers

The answer is 35.

Step By Step Explanation:

First put in terms of numerator/denominator without the 4 in the front. We first multiply 8*4 and then add that to 3. Then our new fraction is 35/8 and then we get our answer of 35

Which of the following is the quadratic parent function?
O A. Fx) = x2
O B. AX) = x+1
O c. Fix) = 2x
O D. Ax) = x​

Answers

Answer:

Answer: Option A F(x)=

Explanation:

Quadratic function is the function which has degree two

Degree is the highest power of a polynomial

In option B we have |x| in which degree is one hence, discarded

In option C we have  in which degree is three hence, discarded

In option D we have x which is a linear function being of degree one. Hence, discarded.

which of the following is the solution to the inequalitY
below. (-5x-10 <20)
A.x > -6
B. x > -2
C. x < -6
D. x < -2

Answers

Answer:

The answer is option A.

Step-by-step explanation:

-5x-10 <20

Group like terms

-5x < 20 + 10

-5x < 30

Divide both sides by -5

x > - 6

Hope this helps

Hope this helps

Simplify (3x^2)^3

Please help

Answers

Answer:

27x^6

Step-by-step explanation:

Which number added to a rational number will always result in an irrational number?

Answers

Answer:

The sum of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that ½+√2 is irrational.

Step-by-step explanation:

Given that (-1,7) is on the graph of f(x), find the corresponding point for the function f(x+3)

Answers

Answer:

(-4,7)

Step-by-step explanation:

Given

A point on f(x) = (-1,7)

Required

Find the coordinates of f(x+3)

The given parameter can be rewritten as

[tex]f(-1) = 7[/tex]

We're to solve for [tex]f(x+3)[/tex]

By comparing [tex]f(-1) = 7[/tex] to [tex]f(x+3)[/tex];

The expressions in the bracket implies that

[tex]-1 = x + 3[/tex]

Subtract 3 from both sides

[tex]-1 - 3 = x + 3 - 3[/tex]

[tex]-1 - 3 = x[/tex]

[tex]-4 = x[/tex]

[tex]x = -4[/tex]

Stil comparing

[tex]f(-1) = 7[/tex] to [tex]f(x+3)[/tex];

If f(-1) = f(x + 3) then

[tex]f(x +3)= 7[/tex]

Hence, the coordinates of f(x+3) is (-4,7)

For a randomly selected driver, are the events "driving while using a cell phone" and "having a traffic accident" independent events? Explain your answer. PLEASE HELP :(

Answers

Answer:

Let's denote:

The event of driving while using a cell phone: A

The event of having a traffic accident: B

The event of driving while using a cell phone and having a traffic accident:  A⋂B

P(A) = 11% = 0.11

P(B) = 5.26% = 0.526

P(A⋂B) = 28% = 0.28

If event A and event B are independent (it means the cause of a traffic accident is nothing related to driving while using a cell phone), then:

P(A) x P(B) = P(A⋂B)

Let's check:

P(A) x P(B) = 0.11 x 0.526 = 0.05786 and not equal to P(A⋂B) = 0.28

=> Event A and event B are not independent. In other words, they are related. (it means driving while using a cell phone is one of the reasons for having a traffic accident)

(0, 4), (-5, 8), (4, -2), what is the range?

Answers

Answer:

range={ -2,4,8}

Explanation:

Let R be a relation from A to B.Then the set of first components or the set of elements of A are called domain and the set of second components or the set of elements of B are called the range.

Hope this helps...

Good luck on your assignment..

Which function is equivalent to Y=-cot(x)?

Answers

I hope this helps you out

Answer:

d) y=(x+pi/2)

Step-by-step explanation:

edge 2020 correct & 100%

HELP PLEASE!!! I need your guys help on this question.

Answers

Answer:

Area of a trapezium = 1/2(a+b)×h

where a and b are parallel sides of the trapezium

h is the height

First question

We must first find the height of the trapezium using Pythagoras theorem

That's

h² = 8² -3²

h =√ 64 - 9

h = √ 55m

a = 7m

b = 10+3 = 13m

Area of the trapezoid = 1/2(7+13)×√55

= 1/2×20×√55

= 74.16

= 74m² to the nearest tenth

Second question

We use sine to find the height

sin30° = h/12

h = 12 sin 30°

h = 6 in

Let the other half of the parallel side be x

To find the other half of the parallel side we use Pythagoras theorem

That's

x² = 12²- 6²

x = √144-36

x = √108

x = 6√3 in

So for this trapezoid

a = 9 in

b = (9 + 6√3) in

h = 6 in

Area of the trapezoid = 1/2(9 + 9+6√3) × 6

= 1/2(18+6√3)×6

= 85.176 in²

= 85 in² to the nearest tenth

Hope this helps you

Answer:

The first (left) trapezoid's area is [tex]10\sqrt{55}[/tex]m or ≈ 74.2m²

The second (right) trapezoid's area is [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²

Step-by-step explanation:

First trapezoid (left):

Because the first trapezoid is a normal trapezoid, we can use the equation [tex]A = \frac{a+ b}{2} * h[/tex] Where a is equal to one base length and b is equal to the other base length and h is the height of the trapezoid.

a = 7

b = 13

h = [tex]\sqrt{55}[/tex]   ([tex]3^{2}+h^{2} = 8^{2}[/tex])

Plug into the equation:

[tex]A = \frac{7+13}{2} *\sqrt{55}[/tex]

A = [tex]10\sqrt{55}[/tex] or ≈74.2m²

Second trapezoid (right):

Not a normal trapezoid (split into a triangle and a square)

Let's solve for the triangle first:

using [tex]sin(30) = \frac{x}{12}[/tex] to find the right-hand side of the triangle we get x = 6

because this is a 30 60 triangle, the last side has to be [tex]6\sqrt{3}[/tex]

Now we can calculate the area of the figure:

Triangle is [tex]\frac{1}{2} * 6 * 6\sqrt{3} = 18\sqrt{3}[/tex]

Rectangle is 6 * 9 = 54

Area = [tex]54 +18\sqrt{3}[/tex] or ≈ 85.2 in²

Find an expression for the height of a parallelogram whose area is represented by 2x^3 − x^2 − 20x + 3 and whose base is represented by (x + 3).

Answers

Answer:

The height of parallelogram is [tex]2x^2-7x+1[/tex]

Step-by-step explanation:

Area of parallelogram =[tex]Base \times Height[/tex]

Area of parallelogram = [tex]2x^3 -x^2 -20x + 3[/tex]

Base of parallelogram = x+3

So, [tex]2x^3-x^2-20x + 3 = height \times (x+3)[/tex]

[tex]\frac{2x^3- x^2 -20x + 3}{x+3}= height\\2x^2-7x+1=Height[/tex]

Hence The height of parallelogram is [tex]2x^2-7x+1[/tex]

Answer:

^^^^^^^

correct

Step-by-step explanation:

PLZ HELP!! HURRY!!!30POINTS!!

Answers

Answer & Step-by-step explanation:

Replace ? with =, >, or < to make the statement true. 12 ÷ 4 + 13 ? 2 + 22 ÷ 2

Answers

Answer:

>

Step-by-step explanation:

On the left side, we divide first: 12/4=3

On the left side, we get 3+13, which equals 16.

On the right side, we also divide first: 22/2=11

On the right side, we get 11+2, which equals 13.

We know that 16 is larger than 13, so  

12 ÷ 4 + 13 > 2 + 22 ÷ 2

Hope this helps!

Answer:

>

Step-by-step explanation:

What is the slope of the line shown below?

Answers

Answer:

m = 5/8

Step-by-step explanation:

                                                2 - (-3)

The slope is m = rise / run = ------------- =  5/8

                                                 6 - (-2)

Answer:

The answer is 5/8

Step-by-step explanation.

The equation for slope is y2-y1/x2-x1. In this case, it would equal 2-(-3)/6-(-2). When you simplify this you get 5/8.

You invest $5000 into an account earning 4% interest compounded quarterly. Write an
equation to represent the amount of money you will have in your account after 8 years?

Answers

Answer:

A (in $USD) = 5,000(1 + .04/4)^4(8)

A = 5000(1 + 0.01)^32

A = 5000(1.01)^32

A = 5000(1.37494068)

A ≈ 6874.7034

A = $6875 or $6875.7 (depending on rounding requirement)

Step-by-step explanation:

Compound Interest Formula

A = P(1+ r/n)^n(t)

A is the amount in the account after t yearsP is the principal (original amount invested)r is the annual rate, expressed as a decimaln the number of times the interest is calculated a year*t is the number of years

*If the interest is compounded monthly n = 12, if quarterly n = 4, if daily n = 365.

In the diagram above, which two red lines are parallel?
A.
GK | KG
B.
C.
D.
FL | GK

Answers

Answer: D. FL | GK

Step-by-step explanation:

Assuming that it's a cube made of up line segments, you know that line FL and line GK are parallel because they will never intersect or meet.

D

Because those two lines will never intersect

What is the volume of a cylinder with a height of 17 cm and a base radius of 7 cm to the nearest 10th

Answers

Answer:

Step-by-step explanation:

volume =πr²h=π×7²×17≈2616.9 cm³

The volume of a cylinder is 2616.95 cubic centimeters.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We have:

The height of the cylinder h = 17 cm

Base radius of the cylinder r = 7 cm

We know the volume of a cylinder is given by:

[tex]\rm V = \pi r^2h[/tex]

[tex]\rm V = \pi\times 7^2\times17[/tex]

V = 833π cubic centimeters

V = 833×3.141592

V = 2616.94668 cubic centimeters or

V = 2616.95 cubic centimeters.

Thus, the volume of a cylinder is 2616.95 cubic centimeters.

Learn more about the volume here:

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There are crows and groundhogs in a field. All of them together have 15 heads and 40 legs. How many of each animal are in the field?

Answers

Answer:

idk

Step-by-step explanation:

I'm going to do some deep research to find the answer. One sec

Answer:

There are 5 groundhogs and 10 crows.

Step-by-step explanation:

Ok, so there are 15 animals and 40 legs. So, groundhogs have 4 legs while crows have 2. Lets say x= our groundhog legs, and y= our crow legs. Our equations are 4x+2y=40 and x+y=15. Now that we have the equations needed we just have to solve them. Now we subtract the two equations from each other. So, this would get,

                                                                            4x+2y=40

                                                                           -   x+  y=15

                                                                           --------------------

                                                                               3x+y=25.

Now we need to subtract x to the other side. So, now we have y=25-3x. The only solution to this problem is (5,10). 25-3(5)=25-15=10. To check this lets put them into our original equations, 4x+2y=40 and x+y=15. So, 4(5) + 2(10)=20+20=40, and 5+10=15! So there's your answer.

Create your own factorable polynomial with a GCF. Rewrite that polynomial in two other equivalent
forms. Explain how each form was created. (10 points)
For example: 2x2 + 6x + 4 has a GCF of 2 since all values are divisible by 2.
So one form can be created by factoring out 2:
2 (2x2 + 3x + 2)
Then the second form can be created by factoring x2 + 3x + 2:
2 (x + 2) (x + 1).
Be sure to create your own example, do not look one up online.

Answers

Answer:

Step-by-step explanation:

2x^2+10x+12  greatest common factor is 2

2(x^2+5x+6)=

2(x+2)(x+3)

WILL MARK BRAINLIEST!!! Find and post a picture of a number line with a whole dot on 7 and shading to the left

Answers

Answer:

7, with shaded dot (I hope this helps you)

Explanation:

b) Calculate the value of y when x=0.1

Answers

Answer:

this question is incorrect

Is this question incorrect ? Have u definitely put the correct question you have been asked ?

Which diagram is NOT a good model of 2 ÷ 18? Math item response image Math item response image Math item response image (I don't know how to paste the images.) PLEASE ANSWER ASAP!! Thanks!!

Answers

Answer:

when you wrote question there will be pin sign then you will attach any image   easily

Step-by-step explanation:

Answer:

Its the triangle one

Step-by-step explanation:

Just count them and you will see there are only 7 not 8 :)    

This graph shows how much Marie earns babysitting, compared with the number of hours she works. Select the correct statement about the graph. A. for each hour she works , her earnings go up by $10 B. for each dollar she earns, the number of hours she works goes up by 10. C. for each hour she works, her earnings go up by $5 D. for every 5 hours she works, her earnings go up by $1

Answers

Step-by-step explanation:

for each hour she works , her earnings go up by $10

The first one is the correct answer, because the slope of the line is

$(60-0)/(6.0 hours)

= 60/6 $/hour

=10 $/hour.

Answer:$10 .per hour

Step-by-step explanation:

Which points are 19 units apart?
0 (-14, 12) and (5, 12)
0 (-5, 19) and (-12, 19)
0 (-20, 5) and (1,5)
O (14, 12) and (5, 12)​

Answers

Answer:

Third option

Step-by-step explanation:

Plot the following (-20,5) , (1,5)

[tex]20 - 1 = 19[/tex]

Or you can just count the units from (-20,5) to (1,5) which is a 19 unit difference, remember that units is per square. The answer is the third option.

Hope this helps.

Answer:

It is the first option: (-14, 12) and (5, 12).

Step-by-step explanation:

Because the x-values are -14 and 5, and 5 - (-14) is 19, whereas the y-values stay the same. So the points (-14, 12) and (5, 12) are 19 units apart. You can also graph this and count the units from -14 to 5.

PLEASE ANSWER ASAPPPPPP! What is the quotient of 6 and -1/2.

Answers

Answer:

-12

Step-by-step explanation:

6 ÷ -1/2

Copy dot flip

6 * -2/1

-12

Mr. Harrison grades his test on a scale of 1 to 10. The dot plots below show the grades for his first test and the last test of the year. Pic below What is the difference between the means of the scores for the two tests?

Answers

Answer:

a

Step-by-step explanation:

Answer:    0.88

====================================================

Work Shown:

F = first test data set

F = {1,3,5,5,7,7,7,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10}

m = mean of set F

m = (sum of values in set F)/(number of values in set F)

m = (1+3+5+5+7+7+7+8+8+8+8+9+9+9+9+9+9+9+9+10+10+10+10+10+10)/25

m = 199/25

m = 7.96

----------

L = last test data set

L = {3,4,4,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10}

n = mean of set L

n = (sum of values in set L)/(number of values in set L)

n = (3+4+4+5+5+6+6+6+7+7+7+7+7+7+8+8+8+8+8+9+9+9+9+10+10)/25

n = 177/25

n = 7.08

----------

d = difference in means

d = m - n

d = 7.96 - 7.08

d = 0.88

Which equation has only one solution?
|x - 5= -1
|-6 - 2x1 = 8
5x+ 10 = 10
|-6x + 31 = 0

Answers

Answer:

5x + 10 = 10

Step-by-step explanation:

5x + 10 = 10

5x = 10 - 10

5x = 0

x = 0/5

x = 0

Only one solution.

Scott earns $16.85 per hour at his job. He works 7 hours per day, 4 days per week. What is Scott’s gross monthly income for 4 weeks? a. $471.80 b. $943.60 c. $1,415.40 d. $1,887.20

Answers

Answer:

D

Step-by-step explanation:

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